Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Oksana Bezushchak"'
Autor:
Oksana Bezushchak, Bogdana Oliynyk
Publikováno v:
Bulletin of Mathematical Sciences, Vol 10, Iss 1, Pp 2050006-1-2050006-7 (2020)
We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives negative answers to questions from [V. M. Kurochkin, On the theory of
Externí odkaz:
https://doaj.org/article/aa6078a60c6742d7bbe7b548f93bfead
Autor:
Oksana Bezushchak
Publikováno v:
Linear Algebra and its Applications. 650:42-59
We describe automorphisms and derivations of several important associative and Lie algebras of infinite matrices over a field.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6bc3bce3bfb80e4b9c8c2392434928e6
https://doi.org/10.1016/j.laa.2022.05.020
https://doi.org/10.1016/j.laa.2022.05.020
Autor:
Oksana Bezushchak, Bogdana Oliynyk
We parameterize countable locally standard Boolean measure algebras by pairs of a Steinitz number and a real number greater or equal to [Formula: see text] This is an analog of the theorems of Dixmier and Baranov.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87b4bd425745e29bfb6ddf21bebb1bdc
http://arxiv.org/abs/2210.16920
http://arxiv.org/abs/2210.16920
Autor:
Oksana Bezushchak
Publikováno v:
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics. :8-11
Let N be the set of natural numbers. Let F be a field. In [1], we introduced a class of groups SL^p_s (F) and GL^p_s (F) of periodic infinite (N \times N)–matrices that correspond to a Steinitz number s: In this paper we introduce a wider class of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a51a44396a4930c4b4bd1a9cc294643
https://doi.org/10.17721/1812-5409.2019/4.1
https://doi.org/10.17721/1812-5409.2019/4.1
Autor:
Oksana Bezushchak
We describe spectra of associative (not necessarily unital and not necessarily countable-dimensional) locally matrix algebras. We determine all possible spectra of locally matrix algebras and give a new proof of Dixmier–Baranov Theorem. As an appli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46871fb7c6a231c7c6266aac4a98bb5f
http://arxiv.org/abs/2011.08264
http://arxiv.org/abs/2011.08264
Autor:
Oksana Bezushchak
Let $A$ be a unital locally matrix algebra over a field $\mathbb{F}$ of characteristic different from $2.$ We find a necessary and sufficient condition for the Lie algebra $A\diagup\mathbb{F}\cdot 1$ to be simple and for the Lie algebra of derivation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::141de2a04711aa9e40918a764e5d8a8b
http://arxiv.org/abs/2008.04955
http://arxiv.org/abs/2008.04955
Autor:
Oksana Bezushchak
We describe derivations and automorphisms of infinite tensor products of matrix algebras. Using this description we show that for a countable--dimensional locally matrix algebra $A$ over a field $\mathbb{F}$ the dimension of the Lie algebra of outer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ea970f7a6a79dc13e14060da4daa981
Autor:
Oksana Bezushchak, Bogdana Oliynyk
Publikováno v:
Journal of Algebra and Its Applications. 20:2150147
We study an abstract class of Hamming spaces (known also as measure algebras) that generalizes standard Hamming spaces [Formula: see text]. We classify countable locally standard Hamming spaces and show that each of them can be realized as the Boolea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c258cb67803f4c03e69347e023fba8d5
https://doi.org/10.1142/s0219498821501474
https://doi.org/10.1142/s0219498821501474
Autor:
Bogdana Oliynyk, Oksana Bezushchak
Publikováno v:
Bulletin of Mathematical Sciences, Vol 10, Iss 1, Pp 2050006-1-2050006-7 (2020)
We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives negative answers to questions from [V. M. Kurochkin, On the theory of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc6e9ac91d4fcf8c3385f05d79580596
https://doi.org/10.1142/s166436072050006x
https://doi.org/10.1142/s166436072050006x
Autor:
Oksana Bezushchak, Bogdana Oliynyk
Publikováno v:
Journal of Algebra and Its Applications. 19:2050180
An [Formula: see text]-algebra [Formula: see text] with unit [Formula: see text] is said to be a locally matrix algebra if an arbitrary finite collection of elements [Formula: see text] from [Formula: see text] lies in a subalgebra [Formula: see text
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52789883baa72dae43ef40ec3012fc58
https://doi.org/10.1142/s0219498820501807
https://doi.org/10.1142/s0219498820501807